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## Acta Physica Polonica A

2014 | 126 | 2 | 438-441
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### Quotient Cohomology of Certain 1- and 2-Dimensional Substitution Tiling Spaces

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The quotient cohomology of tiling spaces is a topological invariant that relates a tiling space to one of its factors, viewed as topological dynamical systems. In particular, it is a relative version of the tiling cohomology that distinguishes factors of tiling spaces. In this work, the quotient cohomologies within certain families of substitution tiling spaces in 1 and 2 dimensions are determined. Specifically, the quotient cohomologies for the family of the generalised Thue-Morse sequences and generalised chair tilings are presented.
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438-441
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2014-08
References
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